EduSahara™ Assignment
Name : Polynomial Concepts
Chapter : Polynomials
Grade : CBSE Grade IX
License : Non Commercial Use
Question 1
1.
Which of the following are polynomials?
a)
    • x
      2
       
      +
      1

      x
      2
       
b)
    • (
      x
      +
      y
      )

      (
      x
      y
      )
c)
    • x
      +
      1

      x
d)
    • x
      2
       
e)
    • (
      x
      +
      y
      )
  • (i)
    {b,e,d}
  • (ii)
    {d,e}
  • (iii)
    {c,a,d}
  • (iv)
    {a,d}
  • (v)
    {b,e}
Question 2
2.
Which of the following are not polynomials?
a)
    • (
      4
      x
      +
      8
      y
      )

      (
      8
      x
      6
      y
      )
b)
    • (
      32
      x
      2
       
      +
      40
      x
      y
      48
      y
      2
       
      )
c)
    • x
      +
      1

      x
d)
    • 16
      x
      2
       
e)
    • (
      4
      x
      +
      8
      y
      )
  • (i)
    {d,c,a}
  • (ii)
    {b,a}
  • (iii)
    {d,c}
  • (iv)
    {e,b,a}
  • (v)
    {a,c}
Question 3
3.
Which of the following are not polynomials?
a)
    • √x
b)
    • 49
      x
      2
       
      +
      1

      49
      x
      2
       
c)
    • (
      4
      x
      6
      y
      )
d)
    • 49
      x
      2
       
e)
    • (
      9
      x
      +
      9
      y
      )
  • (i)
    {d,b}
  • (ii)
    {c,a}
  • (iii)
    {e,c,a}
  • (iv)
    {a,b}
  • (v)
    {d,b,a}
Question 4
4.
Which of the following are not polynomials?
a)
    • 16
      x
      2
       
b)
    • √x
c)
    • (
      9
      x
      +
      6
      y
      )

      (
      4
      x
      7
      y
      )
d)
    • (
      4
      x
      7
      y
      )
e)
    • (
      36
      x
      2
       
      39
      x
      y
      42
      y
      2
       
      )
  • (i)
    {e,a,b}
  • (ii)
    {a,b}
  • (iii)
    {d,c,b}
  • (iv)
    {b,c}
  • (v)
    {d,c}
Question 5
5.
    • The degree of the polynomial
    • (
      8
      t
      2
      )
    • is
  • (i)
    (-1)
  • (ii)
    2
  • (iii)
    1
  • (iv)
    3
  • (v)
    0
Question 6
6.
    • The degree of the polynomial
    • (
      7
      p
      2
       
      +
      7
      p
      4
      )
    • is
  • (i)
    (-1)
  • (ii)
    2
  • (iii)
    3
  • (iv)
    1
  • (v)
    5
Question 7
7.
    • The degree of the polynomial
    • (
      n
      2
       
      2
      n
      +
      9
      )
    • is
  • (i)
    (-1)
  • (ii)
    2
  • (iii)
    3
  • (iv)
    1
  • (v)
    4
Question 8
8.
    • The degree of the polynomial
    • (
      4
      n
      5
       
      +
      6
      n
      4
       
      +
      n
      3
       
      +
      n
      8
      )
    • is
  • (i)
    4
  • (ii)
    2
  • (iii)
    5
  • (iv)
    6
  • (v)
    8
Question 9
9.
    • The constant term in polynomial
    • (
      7
      s
      6
      )
    • is
  • (i)
    -9
  • (ii)
    -6
  • (iii)
    -4
  • (iv)
    -5
  • (v)
    -7
Question 10
10.
    • The coefficient of term
    • w
      2
       
    • in polynomial
    • (
      7
      w
      2
       
      4
      w
      9
      )
    • is
  • (i)
    7
  • (ii)
    9
  • (iii)
    5
  • (iv)
    8
  • (v)
    6
Question 11
11.
    • The coefficient of term
    • d
      2
       
    • in polynomial
    • (
      5
      d
      3
       
      +
      6
      d
      2
       
      5
      d
      +
      3
      )
    • is
  • (i)
    8
  • (ii)
    7
  • (iii)
    4
  • (iv)
    6
  • (v)
    5
Question 12
12.
    • The coefficient of term
    • q
      2
       
    • in polynomial
    • (
      5
      q
      4
       
      3
      q
      3
       
      9
      q
      2
       
      4
      q
      +
      8
      )
    • is
  • (i)
    -11
  • (ii)
    -8
  • (iii)
    -9
  • (iv)
    -6
  • (v)
    -10
Question 13
13.
Which of the following algebraic expressions is a monomial?
  • (i)
    (
    8
    x
    3
     
    2
    x
    )
  • (ii)
    2
    x
    2
     
  • (iii)
    (
    8
    x
    4
     
    +
    9
    x
    3
     
    +
    9
    x
    2
     
    +
    8
    x
    +
    2
    )
  • (iv)
    (
    8
    x
    4
     
    9
    x
    3
     
    x
    2
     
    6
    x
    +
    4
    )
  • (v)
    (
    x
    2
     
    +
    7
    x
    +
    1
    )
Question 14
14.
Which of the following algebraic expressions is a binomial?
  • (i)
    (
    5
    h
    3
     
    +
    7
    h
    2
     
    )
  • (ii)
    (
    8
    h
    4
     
    +
    9
    h
    3
     
    +
    6
    h
    2
     
    +
    h
    1
    )
  • (iii)
    (
    8
    h
    4
     
    +
    8
    h
    3
     
    +
    4
    h
    2
     
    )
  • (iv)
    (
    8
    h
    2
     
    )
  • (v)
    (
    8
    h
    4
     
    +
    9
    h
    3
     
    +
    4
    h
    2
     
    +
    6
    h
    6
    )
Question 15
15.
Which of the following algebraic expressions is a trinomial?
  • (i)
    (
    8
    i
    )
  • (ii)
    (
    5
    i
    4
     
    +
    8
    i
    3
     
    2
    i
    2
     
    +
    4
    i
    8
    )
  • (iii)
    (
    2
    i
    2
     
    5
    )
  • (iv)
    (
    2
    i
    4
     
    5
    i
    3
     
    +
    1
    )
  • (v)
    (
    8
    i
    4
     
    +
    7
    i
    3
     
    +
    5
    i
    2
     
    6
    i
    +
    9
    )
Question 16
16.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    (
    3
    s
    4
     
    +
    3
    s
    2
     
    +
    3
    s
    )
  • (ii)
    (
    9
    s
    4
     
    +
    3
    s
    3
     
    6
    s
    2
     
    s
    8
    )
  • (iii)
    (
    2
    s
    2
     
    +
    8
    )
  • (iv)
    (
    9
    )
  • (v)
    (
    4
    s
    2
     
    )
Question 17
17.
Which of the following algebraic expressions is a zero polynomial?
  • (i)
    0
  • (ii)
    (
    3
    s
    4
     
    s
    3
     
    +
    3
    s
    2
     
    2
    s
    +
    1
    )
  • (iii)
    (
    8
    s
    )
  • (iv)
    (
    2
    s
    4
     
    5
    s
    3
     
    +
    8
    s
    2
     
    )
  • (v)
    (
    6
    s
    4
     
    9
    s
    2
     
    )
Question 18
18.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    6
  • (ii)
    (
    3
    f
    2
     
    +
    2
    f
    8
    )
  • (iii)
    (
    3
    f
    3
     
    3
    f
    2
     
    +
    3
    f
    9
    )
  • (iv)
    (
    4
    f
    8
    )
  • (v)
    (
    3
    f
    5
     
    +
    f
    3
     
    +
    3
    f
    2
     
    4
    f
    7
    )
Question 19
19.
Which of the following algebraic expressions is a linear polynomial?
  • (i)
    (
    7
    g
    5
     
    +
    7
    g
    4
     
    +
    5
    g
    3
     
    +
    g
    +
    4
    )
  • (ii)
    (
    8
    g
    2
     
    4
    g
    9
    )
  • (iii)
    (
    7
    g
    +
    8
    )
  • (iv)
    (
    8
    g
    3
     
    8
    g
    2
     
    8
    g
    4
    )
  • (v)
    (
    3
    )
Question 20
20.
Which of the following algebraic expressions is a quadratic polynomial?
  • (i)
    (
    9
    x
    2
     
    +
    5
    x
    +
    4
    )
  • (ii)
    (
    4
    x
    5
     
    +
    8
    x
    4
     
    x
    3
     
    x
    +
    1
    )
  • (iii)
    (
    x
    3
     
    +
    9
    x
    2
     
    4
    x
    +
    1
    )
  • (iv)
    (
    7
    )
  • (v)
    (
    8
    x
    5
    )
Question 21
21.
Which of the following algebraic expressions is a cubic polynomial?
  • (i)
    (
    3
    c
    3
     
    +
    9
    c
    2
     
    2
    c
    +
    5
    )
  • (ii)
    (
    4
    c
    1
    )
  • (iii)
    (
    4
    c
    5
     
    5
    c
    3
     
    5
    c
    2
     
    7
    c
    +
    4
    )
  • (iv)
    (
    4
    c
    2
     
    4
    c
    8
    )
  • (v)
    5
Question 22
22.
    • The degree of polynomial
    • (
      7
      v
      w
      +
      4
      v
      7
      w
      7
      )
    • is
  • (i)
    5
  • (ii)
    1
  • (iii)
    0
  • (iv)
    2
  • (v)
    3
Question 23
23.
    • The degree of polynomial
    • (
      6
      m
      n
      +
      6
      n
      2
       
      +
      3
      n
      +
      2
      )
    • is
  • (i)
    1
  • (ii)
    3
  • (iii)
    0
  • (iv)
    2
  • (v)
    5
Question 24
24.
    • The degree of polynomial
    • (
      2
      q
      2
       
      r
      2
       
      s
      +
      7
      q
      2
       
      s
      2
       
      q
      s
      2
       
      +
      5
      r
      s
      2
       
      s
      )
    • is
  • (i)
    5
  • (ii)
    6
  • (iii)
    7
  • (iv)
    3
  • (v)
    4
Question 25
25.
    • The degree of polynomial
    • (
      6
      r
      3
       
      s
      2
       
      3
      r
      3
       
      s
      t
      3
       
      +
      7
      r
      2
       
      s
      3
       
      t
      3
       
      5
      r
      2
       
      s
      2
       
      t
      2
       
      +
      6
      r
      s
      t
      2
       
      6
      r
      s
      t
      6
      s
      3
       
      t
      )
    • is
  • (i)
    9
  • (ii)
    8
  • (iii)
    5
  • (iv)
    7
  • (v)
    10
Question 26
26.
    • The coefficient of term
    • h
    • in polynomial
    • (
      7
      g
      h
      g
      17
      h
      +
      7
      )
    • is
  • (i)
    -17
  • (ii)
    -18
  • (iii)
    -16
  • (iv)
    -20
  • (v)
    -15
Question 27
27.
    • The coefficient of term
    • x
    • in polynomial
    • (
      4
      x
      y
      +
      3
      x
      y
      +
      4
      )
    • is
  • (i)
    2
  • (ii)
    3
  • (iii)
    6
  • (iv)
    4
  • (v)
    1
Question 28
28.
    • The coefficient of term
    • w
    • in polynomial
    • (
      7
      v
      2
       
      w
      2
       
      +
      9
      v
      2
       
      w
      6
      v
      2
       
      x
      2
       
      +
      3
      w
      +
      3
      x
      2
       
      )
    • is
  • (i)
    2
  • (ii)
    0
  • (iii)
    3
  • (iv)
    4
  • (v)
    6
Question 29
29.
    • The coefficient of term
    • i
      3
       
      j
      3
       
      k
      3
       
    • in polynomial
    • (
      3
      i
      3
       
      j
      3
       
      k
      3
       
      8
      i
      3
       
      j
      2
       
      k
      +
      3
      i
      3
       
      j
      +
      i
      3
       
      k
      3
       
      +
      2
      i
      2
       
      j
      k
      2
       
      9
      i
      k
      9
      j
      )
    • is
  • (i)
    -2
  • (ii)
    -4
  • (iii)
    -1
  • (iv)
    -5
  • (v)
    -3
Question 30
30.
Which of the following algebraic expressions is a monomial?
  • (i)
    (
    4
    q
    3
     
    r
    2
     
    +
    7
    q
    2
     
    r
    3
     
    4
    q
    2
     
    r
    +
    9
    r
    2
     
    )
  • (ii)
    (
    p
    3
     
    q
    3
     
    r
    2
     
    8
    p
    q
    r
    4
    q
    3
     
    r
    8
    q
    r
    3
     
    )
  • (iii)
    (
    8
    p
    3
     
    q
    3
     
    r
    2
     
    )
  • (iv)
    (
    9
    p
    q
    r
    3
     
    3
    q
    2
     
    r
    )
  • (v)
    (
    p
    3
     
    +
    3
    p
    q
    2
     
    r
    2
     
    2
    q
    r
    2
     
    )
Question 31
31.
Which of the following algebraic expressions is a binomial?
  • (i)
    (
    8
    v
    2
     
    w
    3
     
    x
    3
    v
    2
     
    w
    x
    2
     
    6
    v
    w
    2
     
    x
    2
    v
    x
    2
     
    )
  • (ii)
    (
    2
    v
    2
     
    w
    2
     
    x
    3
     
    4
    v
    w
    +
    4
    v
    x
    3
     
    +
    4
    v
    x
    2
     
    )
  • (iii)
    (
    3
    v
    3
     
    w
    3
     
    x
    3
     
    6
    w
    2
     
    )
  • (iv)
    (
    9
    v
    2
     
    w
    2
     
    +
    8
    v
    w
    3
     
    +
    4
    v
    )
  • (v)
    v
    2
     
    w
    3
     
    x
    3
     
Question 32
32.
Which of the following algebraic expressions is a trinomial?
  • (i)
    (
    9
    l
    m
    3
     
    n
    3
     
    9
    m
    2
     
    n
    2
    )
  • (ii)
    7
    l
    2
     
    m
    3
     
    n
    2
     
  • (iii)
    (
    l
    3
     
    m
    2
     
    n
    +
    5
    l
    3
     
    m
    n
    2
     
    +
    8
    l
    2
     
    m
    n
    2
     
    +
    9
    n
    2
     
    )
  • (iv)
    (
    4
    l
    3
     
    m
    2
     
    n
    5
    l
    2
     
    n
    3
     
    5
    m
    n
    3
     
    4
    n
    )
  • (v)
    (
    3
    l
    2
     
    n
    +
    3
    l
    2
     
    )
Question 33
33.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    (
    9
    a
    3
     
    b
    2
     
    c
    +
    a
    3
     
    b
    c
    8
    a
    b
    2
     
    c
    6
    )
  • (ii)
    6
    a
    3
     
    b
    3
     
    c
    2
     
  • (iii)
    (
    7
    a
    b
    c
    +
    9
    b
    c
    2
     
    )
  • (iv)
    (
    7
    a
    2
     
    b
    c
    +
    6
    a
    b
    c
    3
     
    +
    3
    b
    3
     
    )
  • (v)
    (
    4
    )
Question 34
34.
Which of the following algebraic expressions is a zero polynomial?
  • (i)
    (
    5
    v
    2
     
    7
    v
    )
  • (ii)
    9
    v
    w
    3
     
    x
    2
     
  • (iii)
    0
  • (iv)
    (
    7
    v
    w
    3
     
    +
    5
    v
    w
    x
    +
    6
    v
    x
    2
     
    x
    )
  • (v)
    (
    7
    v
    3
     
    w
    2
     
    x
    2
     
    +
    9
    v
    w
    3
     
    x
    8
    w
    2
     
    x
    3
     
    )
    Assignment Key

  •  1) (ii)
  •  2) (v)
  •  3) (iv)
  •  4) (iv)
  •  5) (iii)
  •  6) (ii)
  •  7) (ii)
  •  8) (iii)
  •  9) (ii)
  •  10) (i)
  •  11) (iv)
  •  12) (iii)
  •  13) (ii)
  •  14) (i)
  •  15) (iv)
  •  16) (iv)
  •  17) (i)
  •  18) (i)
  •  19) (iii)
  •  20) (i)
  •  21) (i)
  •  22) (iv)
  •  23) (iv)
  •  24) (i)
  •  25) (ii)
  •  26) (i)
  •  27) (ii)
  •  28) (iii)
  •  29) (v)
  •  30) (iii)
  •  31) (iii)
  •  32) (i)
  •  33) (v)
  •  34) (iii)